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3713712940 = 2257223376173
BaseRepresentation
bin1101110101011010…
…1100001100101100
3100120211000011102201
43131112230030230
530101202303230
61412301431244
7161013016300
oct33526541454
910524004381
103713712940
111636326553
1287786b524
134725154a2
1427330dd00
1516b0745ca
hexdd5ac32c

3713712940 has 288 divisors, whose sum is σ = 10017108864. Its totient is φ = 1149603840.

The previous prime is 3713712929. The next prime is 3713712941. The reversal of 3713712940 is 492173173.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 3713712940.

It is not an unprimeable number, because it can be changed into a prime (3713712941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50872744 + ... + 50872816.

It is an arithmetic number, because the mean of its divisors is an integer number (34781628).

Almost surely, 23713712940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3713712940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008554432).

3713712940 is an abundant number, since it is smaller than the sum of its proper divisors (6303395924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3713712940 is a wasteful number, since it uses less digits than its factorization.

3713712940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 3713712940 is about 60940.2407281100. The cubic root of 3713712940 is about 1548.5887869903.

The spelling of 3713712940 in words is "three billion, seven hundred thirteen million, seven hundred twelve thousand, nine hundred forty".